含故障边的k元4立方体中的哈密尔顿性Hamiltonian in k-ary 4-cube with Faulty Edges
田小润,李晶,张建秀
摘要(Abstract):
对于大量的并行系统而言,k元n立方体网络Q~k_n是最流行的互连网络之一。对k元4立方体网络中的容错哈密尔顿性进行研究,证明了在Q~k_4中,k≥4是偶数,若|F|≤13,且δ(Q~k_4-F)≥3时,Q~k_4-F中仍有哈密尔顿圈,其中F是Q~k_4中的故障边集。
关键词(KeyWords): 互连网络;容错性;k元n立方体;哈密尔顿圈
基金项目(Foundation): 山西省回国留学人员科研资助基金(2020-122)
作者(Author): 田小润,李晶,张建秀
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